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Finding the Fourth Proportional to 3,967.65, 5,475.05 and 2,199.22

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Solution

The fourth proportional to 3,967.65, 5,475.05 and 2,199.22 is: 3,034.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.65 : 5,475.05 = 2,199.22 : x
  2. Step 2: Convert to fraction form
    3,967.65/5,475.05 = 2,199.22/x
  3. Step 3: Cross multiply
    3,967.65x = 5,475.05 × 2,199.22
  4. Step 4: Simplify right side
    3,967.65x = 12,040,839.46
  5. Step 5: Solve for x
    x = 12,040,839.46/3,967.65
  6. Step 6: Final answer
    x = 3,034.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.